Brief paper: A variable structure model reference robust control without a prior knowledge of high frequency gain sign

Authors:
Lin Yan;Liu Hsu;Ramon R. Costa;Fernando Lizarralde
Affiliations:
School of Automation, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;Department of Electrical Engineering, COPPE/UFRJ. P.O. Box 68540, Rio de Janeiro, Brazil;Department of Electrical Engineering, COPPE/UFRJ. P.O. Box 68540, Rio de Janeiro, Brazil;Department of Electrical Engineering, COPPE/UFRJ. P.O. Box 68540, Rio de Janeiro, Brazil
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

The design of a variable structure model reference robust control without a prior knowledge of high frequency gain sign is presented. Based on an appropriate monitoring function, a switching scheme for some control signals is proposed. It is shown that after a finite number of switching, the tracking error converges to zero at least exponentially for plants with relative degree one or converges exponentially to a small residual set for plants with higher relative degree, and the input disturbance can be completely rejected without affecting the tracking performance.